Study of hall current, radiation and velocity slip on hydromagnetic physiological hemodynamic fluid with porous medium through joule heating and mass transfer in presence of chemical reaction

Study of hall current, radiation and velocity slip on hydromagnetic physiological hemodynamic fluid with porous medium through joule heating and mass transfer in presence of chemical reaction

Ravikumar Seelam

Department of Mathematics, NBKR Institute of Science and Technology (An Autonomous Institution, Accredited by NBA and A-Grade of NAAC, ISO 9001:2008 Certified), Vidyanagar, SPSR Nellore 524413, Andhra Pradesh, India

Corresponding Author Email: 
drsravikumar1979@gmail.com
Page: 
422-432
|
DOI: 
https://doi.org/10.18280/ijht.360206
Received: 
8 October 2017
| |
Accepted: 
3 May 2018
| | Citation

OPEN ACCESS

Abstract: 

In this present paper, the problem of hall current, radiation and velocity slip on hydromagnetic physiological hemodynamic fluid with joule heating and mass transfer in presence of chemical reaction in an inclined asymmetrical tapered vertical channel have been investigated. An analysis has been carried out in the presence of the porous medium. Analytical solution is carried out under long wavelength and low-reynolds number approximations. Numerical results were presented for axial pressure gradient, temperature, concentration, nusselt number (Nu) and sherwood number (Sh). Variations of the said quantities with dissimilar parameters are computed by using MATHEMATICA software. Graphs reflecting the contributions of embedded parameters were discussed. It is worth mentioning that the pressure gradient (dp/dx) enhances with an increase in hartmann number (M), gravitational parameter (η) and slip parameter (β) while it reduces by an increase in porosity parameter (Da), hall parameter (m) and volumetric flow rate (Ǭ). We notice that the temperature of the fluid rises with an increase in hartmann number (M), porosity parameter (Da), radiation parameter (N), prandtl number (Pr), brinkman number (Br), heat source parameter (ν) and hall current parameter (m). We observe that the result in concentration profile reduces with a rise in chemical reaction parameter.

Keywords: 

chemical reaction, hall current, porosity parameter, joule heating, mass transfer, radiation

1. Introduction
2. Formulation of the Problem
3. Solution of the Problem
4. Numerical Results and Discussion
5. Conclusions
Acknowledgements
Nomenclature
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